3245828544 has 448 divisors, whose sum is σ = 11429268480. Its totient is φ = 884183040.

The previous prime is 3245828489. The next prime is 3245828549. The reversal of 3245828544 is 4458285423.

3245828544 is a `hidden beast` number, since 3 + 24 + 5 + 82 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 3245828544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245828549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39106327 + ... + 39106409.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2^3245828544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714634240).

3245828544 is an abundant number, since it is smaller than the sum of its proper divisors (8183439936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3245828544 is a wasteful number, since it uses less digits than its factorization.

3245828544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 3245828544 is about 56972.1734182574. The cubic root of 3245828544 is about 1480.6140232803.

The spelling of 3245828544 in words is "three billion, two hundred forty-five million, eight hundred twenty-eight thousand, five hundred forty-four".